Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

If 21y5 is a multiple of 9 what is the value of y

Answer»

Here is the ANSWER to the QUESTION

2.

Obtain all the zeros of the polynomial 2x4+x3-14x2-19x-6 if two of it zeroes are -2 and 1

Answer»

This is the ANSWER.

3.

Cell phone Company A charges a one-time activation fee of $23.75, plus an additional monthly fee of $24.25, plus $0.05 per minute for calls. Cell phone Company B charges a monthly fee of $29, plus $0.10 per minute for calls. After how many minutes of calls would the cost for each company be the same for the first month?A.) 300 minutesB.) 320 minutesC.) 360 minutesD.) 380 minutes

Answer»

Company A COSTS total 23.75+24.25 = 48 and company B = 29

Difference in their fees is $ 19

For each minute company B calls cost 0.10$ and company A costs 0.05$
which means for each minute company B costs 0.05$ more.

So, we NEED NUMBER of minutes after which they cost the same i.e., difference in costs should become 0$

Hence,
No. of minutes = Diff in fees/ cost difference per minute

= 19$/0.05$
= 19*100/5
= 380 minutes

4.

change the 12hours clock time into 24 hours clock time. 12:00noon and 12:00 midnight

Answer»

12:00 = 1200 HOURS
24:00 = 2400 hours

5.

If 15 % of 40 is greater than 25% of a number by 2 then the number is

Answer» 15% of 40 is greater than 25% of a number by 2

let number be X

15% 40 = 25% x + 2
(15*40)/100 = (25x/100) + 2
(60/100) = (25x + 200)/100
600 = 25x + 200
25x = 600 - 200
25x = 400
x = 400/25
x = 16

the number x is 16
6.

In a kilometer race ramesh beat suresh by 100m suresh beat mahesh by 100m.by how much distance ramesh beat mahesh.

Answer»

I THINK that RAMESH BEAT MAHESH by 200 m

7.

Divide 5x^3- 13x^2 +21x- 14 by 3- 2x +x^2 and verify the division algorithm

Answer» HEY , here is your answer in the PICTURE

# HOPE this HELPS you ✌✌✌
be BRAINLY #

8.

A piece of ductile metal is in the form of cylinder of diameter. 1cm and length 11cm . It is drawn out into. A wire of. Diameter1mm . What will be the length. Of the wire so obtained?

Answer» VOLUME of the metal CYLINDER = π r2h Here r = 1/2cm, h= 11cm

Volume = π(1/2)211 = π*1/4*11 = 11π/4 cubic cm.

The diameter of the wire = 1mm. radius = Diameter/2 = 1/2 mm. 1cm = 10 mm so 1/2mm = 1/20cm.

or Radius = 1/20 cm.

Convert the radius of the wire into cm as we have calculated the volume of the cylinder in cubic cm. If we change the SHAPE of a solid, its volume doesnt change so the volume of the wire would be EQUAL to the volume of the cylinder.

The wire is also in shape of a cylinder. Let the length or height of the wire be x cm. 

The volume of the wire = π r2h = π (1/20)2 x = π *1/400*x

But as we have discussed this volume of the wire should be equal to the volume of the cylinder.

So π *1/400*x = 11π/4

so x = (11*400*π)/π*4

or x = 1100 cm.

So the length of the wire = 1100CM.

9.

How can we construct 67 and half degree

Answer» FIRST make 90 degree
then make 75 degree
then INTERSECT 75 and 60 degree
it will give you 67.5 degree
10.

The sum of four consecutive multiples of 4 is 120...... Find these multiples.....

Answer»

Let the SMALLEST multiple be x
so 2ND no.= x+4
3RD no.=x+8
4th no.= x+12
According to question
(x)+(x+4)+(x+8)+(x+12)= 120
4x+24=120
x=120-24/4
x=96/4
x=24
Therefore the MULTIPLES are 24,28,32,36

11.

Show that the points (3,-2,4) ,(1,1,1) and (-1,4,-2) are collinear

Answer»
L hope it will help you. PLEASE MARK my answer as BRAINLIEST answer.
12.

find the degree measure of an angle subtended at the centre of a circle of radius 100cm by an arc of length 22cm

Answer»

Length=©/360 ×2πr
22=x/360× 2× 22/7 ×100
360×7/200=x
x=12.6°

13.

if after allowing 20% discount and levying 13% value added tax,the value of a watch will be Rs. 904 then find the Marked price of the watch.

Answer»

Marked Price of Watch = Rs 1000 if after allowing 20% discount and levying 13% VALUE ADDED tax,the value of a watch will be Rs. 904

Step-by-step explanation:

Let say Marked price of the Watch  = M  Rs

Discount = 20 %

Discount = (20/100)M = 0.2M   Rs

Price after Discount = M - 0.2M = Rs 0.8M

13 % Value added tax

=> VAT  = (13/100) * 0.8M  = 0.104M  Rs

Value of Watch = 0.8M + 0.104M    = 0.904M Rs

0.904M = 904

=> M = 1000  

Marked Price of Watch = Rs 1000

Learn more:

RAVI purchased a motorcycle whose marked price was rupees ...

brainly.in/question/12061104

a retailers buy a TV from a wholesaler for 40000 rupees he marks ...

brainly.in/question/9599726

on which figure the VAT of the product is calculated a. SP b. CP c ...

brainly.in/question/6234048

14.

Divide the polynomial (6x³ + 11x² - 10x - 7) by the binomial (2x + 1). Write the quotient and the remainder.

Answer»

ANSWER:

Quotient = 3x² + 4x - 7

Remainder = 0

Step-by-step explanation:

Divide the POLYNOMIAL (6x³ + 11x² - 10x - 7) by the binomial (2x + 1). Write the quotient and the remainder.

6x³ + 11x² - 10x - 7

= 6x³ + 3x² + 8x²  + 4x  - 14X - 7  + 0

= 3x²(2x + 1) + 4x(2x + 1) - 7(2x + 1) + 0

= (3x² + 4x - 7)(2x+1) + 0

((6x³ + 11x² - 10x - 7)/(2x + 1)

=  ((3x² + 4x - 7)(2x+1) + 0) / (2x + 1)

CANCELLING 2x + 1 from numerator & DENOMINATOR

= 3x² + 4x - 7  

Quotient = 3x² + 4x - 7

Remainder = 0

15.

from a lot of 15 bulbs which include 5 defectives a sample of 2 bulbs is drawn at random (without replacement). find the probability distribution of the number of defective bulbs

Answer»

ANSWER:

Step-by-step EXPLANATION:

16.

a camp of 1000 soldiers has enough food for 180 days if 600 more soldiers join the camp after 20 days how long will the remaining food last

Answer»

First
camp has food of 180 days for 1000soldier
so how much day can camp food LAST if he had only ONE soldier=1000*180=180000days
now from question for 20 days 1000 soldier have their food=20*1000=20000
so REMAINING food=180000-20000=160000

then 600 more soldier join them now total soldiers are 1000+600=1600
so no of days remaining food last will be 160000/1600=100days Answer

17.

X+Y=8 and 1/x +1/Y=8/15

Answer»

x + y = 8.
x = 8 - y.
Put this value in SECOND equation.
1/x + 1/y = 8/15.
1/8-y + 1/y = 8/15.
8/8y-y^2 = 8/15.
15 = 8y - y^2.
y^2 -8y + 15 = 0.
y^2 - 5Y - 3y + 15 = 0.
y( y - 5) -3 (y - 5) = 0
(y - 5)( y - 3 ) = 0 .
y = 5 , 3.
x = 8 - y.
x = 8-5 , 8-3.
x = 3 , 5.
Hope you understood my answer. If YES then plz MARK me as the brainliest.

18.

jagdish can build a wall in 10 days. narender can build same wall in 12 days while sumit takes 15 days to do the same the job. which two of them should be employed to finish the job in 6 days?

Answer»

So,

Here is direct method to solve this TYPE of problems,

If DAYS taken by A to COMPLETE a task is x and y is the number of days taken by B to complete the same task, then if they work together they can complete the task in

(x × y)/(x + y) days

(Harmonic mean)

Now, the question wants us to find the combination such that the task is completed in exactly 6 days

So if we take the value of days taken by Jagdish and Sumit we get,

=(10 × 15)/(10+15)

=150/25

=6

So,

Jagdish and Sumit must be employed to complete the job in 6 days


Hope this HELPS !!!!!!!!!!!!



19.

3p square-24p+36 factorise the follwing

Answer»

Hey

Here is your answer

3p^2 - 24p + 36 = 0
÷3
p^2 - 8p + 12 = 0
p^2 - 2p - 6P + 12 = 0
p (p-2) - 6(p-2)=0
(p-2) (p-6) = 0

Hope it helps you!

20.

Simplify: square root of 2a^2+2root6ab+3b^2.

Answer» DEAR. here is your ANSWER
21.

Divide the polynomial x3-6x2+11x-6 by (x-3) and check whether (x-3) is a factor of the polynomial

Answer» HII There!!!


Here is UR ANSWER...

HOPE it HELPS
22.

How many squares and triangles are in the net of triangular prism ?

Answer» 1 TRIANGLE nonsquard
23.

A survey was conducted to know the hobby of 220 students of class 9. out of which 130 students informed about their hobby as rock climbing and 180 students informed about their hobby as sky watching. there are 110 students follow both the hobbies. then how many students do not have any of two hobbies? how many of them follow the hobby of rock climbing only? How many students follow the hobby of sky watching only?

Answer» 0
24.

A natural number is greater than three times it's square root by four.find the number.

Answer» LET the NATURAL NUMBER be X .
ATQ
25.

A piece of cloth cost rs.35 .if the piece were 4m longer and each m cost rs.1 less .the cost would remain unchanged .how long is the piece and what is the original rate per m

Answer»

8.75

they are very EASY

26.

a circular well has radius 3m if a platform of uniform width of 1.5 m is laid around it, find the area of the platform?

Answer»

Answer:

35.35 square meters.

Step-by-step explanation:

The platform around a circular WELL is also circular.

It will be in the shape of a ring, with inner RADIUS as 3m and outer radius is 3 + 1.5 = 4.5m. (1.5 meters is the width of the platform)

Hence it is given that

Inner radius = r = 3m

Outer Radius = R = 4.5m.

Area of the platform = π(R² - r²)

Substituting the VALUES, we GET

= 22(4.5² - 3²)/7

= 22(11.25)/7

= 35.35 square meters.

27.

Floor tiles are 25 cm squares . How many tiles will be needed for a rectangular lawn 12 m long and 10 m wide. Find the total cost at the rate of ₹8 per tile.

Answer»

Hey buddy

Firstly we have to calculate the area of RECTANGULAR lawn that is 120 m^2.

Then CHANGE 120 m^2 into cm^2 it will be 12000 cm^2.

Then DIVIDE the area of TILES with area of lawn it will be 12000/25 cm
=480

And then multiply it by the cost 8x480=3840.

28.

If x+y+z=0 , show that x³+y³+z³=3xyz

Answer» SEE the PIC...

HOPE HELPS
☆☆☆☆☆☆☆☆
●●●●●●●●●
pls MARK it as BRAINLIEST
29.

If the mean of the following data is 13.5 ten value of p X 5 10 p 20 25f 10 10 10 2 8

Answer» THEREFORE , P is EQUAL to 15
30.

What Is Congruence.

Answer»

Congruence- When We KEEP TWO objects, one over the other, If they over the lab each other completly and exactly then they are said to be congruent objects.

31.

8x+5y-3=0,Express the given linear equation in the form of ax+by+c=0 and indicate the values of a, b and c in each case.

Answer»

It is ALREADY EXPRESSED

just COMPARE it with GIVEN equation

we get
a=8
b=5
c=-3

32.

Hcf and lcm of2520 and 6600 is 120 ,252×k find value of k

Answer»

It MAY be HELPFUL for you

33.

3 sin 60 degree - 4 sin cube 60 degree

Answer» 3SIN 60° - 4sin³60° = 3(√3/2) - 4(√3/2)³
= 3√3/2 - 12√3/8 = 3√3/2 - 4√3/2 = -√3/2
34.

sugar factory has annual sales of 3 billion 720 million kilograms of sugar Express this number in the standard form

Answer»

Answer:3.72×10^9


Step-by-step explanation:3,720,000,000



35.

Ram salary is increased from rs.630 to rs.700 find the percentage increase in his salary

Answer»

I THINK 10% because INC in SALARY is 70
70/700=0.1*100=10%

36.

a is twice as efficient as b and b is thrice as efficient as c who can finish a job alone in 24 days. if a b and c work on alternate days with a starting first in how many days will the job finished?

Answer»

Step-by-step EXPLANATION:

  • Answer: If A, B and C work ALTERNATIVELY, with A STARTING first.. then the job will be finished in 20/3days i.e 6 2/3days.
37.

Evaluate (√2+√3)²-(√5-√2)²

Answer» HOPE this HELP .......
38.

in triangle xyz,the measure of angle x is 30 degree greater than the measure of angle y and angle z is right angle find the measure of angle y

Answer»

Answer is 60 bcoz of 30 60 90 degree TRIANGLE THEOREM

39.

a road roller has a diameter 0.7m and its width is 1.2 m.Find the least number of revolutions that the roller must take in order to level a playground of size 120m×44m.

Answer»

Area of PLAYGROUND = 120 x 44m^2
in cylinder,
height = 1.2m
diameter = 0.7m
radius = 0.35m
c.s.a. = 2πrh
=2 x 22/7 x 0.35 x 1.2
=2.64m
no.. of revolution = area of playground/ c.s.a.
=120 x 44/ 2.64
= 2000
I HOPE it's HELP U :-)

40.

How many terms of G.P 3,3^2,3^3,....are needed to give sum 120?

Answer» HOPE this HELPS you.
41.

Which term if the ap 3,15,27.... will be 132 more than its 54th term?

Answer»
a_{54} + 132 =  a_{n} \\ (a + 53d) + 132 = (a + (n - 1)d) \\ a  + (53 \times 12 )+ 132 = a + 12n - 12 \\ 636 + 132  + 12= 12n \\   \frac{780}{12}  = n \\  (n = 65)
42.

Where does point (7,0) and (-4,0) lie

Answer»

⭐⭐⭐⭐✔✔✔✔✔

HI FRD HERE UR ANS ...

....⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️

Point (0, –7) lies ... 4. Point (– 10, 0) lies.
(A) on the negative DIRECTION of the x-axis.

(B) on the negative direction of the y... If y coordinate of a point is zero.

43.

1 kg of a metal costs rupees 540,find the cost of 150 grams

Answer»

If 1KG= 1000g COSTS 540 RUPEES then 150 GRAMS will cost 81 rupees

44.

30 workers can dig a trench in 5 days .How many workers will be required to dig it in 6 days

Answer» M1 × D1= M2 ×D2
30×5= M2×6
M2= (30×5)/6=25 WORKERS will be the ANSWER
45.

Which is the smallest prime number ?which is the smallest composite number ? which is the smallest even number ?which is the smallest odd number ?which is smallest even prime number ?which is the smallest odd prime number ? which is smallest odd composite number ? which is smallest even composite number ?

Answer» 1) 2

2) 4

3) 2

4) 1

5) 2

6) 3

7) 9

8) 4

46.

ΔABC and ΔDBC are two isosceles triangles on the same base BC (see figure). Show that ∠ABD =∠ACD.

Answer»

Use the result that angles opposite to equal sides of a triangle are equal in both ∆ABC & ∆DBC and then add these results to SHOW the required result.


SOLUTION:

Given: ABC and DBC are two ISOSCELES triangles.

To Prove: ∠ABD = ∠ACD

Proof: In ΔABC, AB =AC. (given)

∠ACB= ∠ABC......(1)

[Since angles opposite to equal sides of a triangle are equal]


In ∆ DBC,

DB=DC (given)

∠DCB = ∠DBC......(2)

[Since angles opposite to equal sides of a triangle are equal] On


adding eq 1 & 2 , We get

∠ACB+ ∠DCB= ∠ABC+ ∠DBC

∠ACD= ∠ABD


Hence, ∠ACD = ∠ABD


HOPE THIS ANSWER WILL HELP YOU..

47.

The solution of 3^3x-5=1/9^x

Answer»

3^( 3x - 5 ) = 1/9^x

3^( 3x - 5 ) = 3^( - 2x )

3x - 5 = - 2x

3x + 2x = 5

5x = 5

x = 1

48.

what sum of money will amount to rs 7290 in 2year at the rate of interest 8% p.a. compounded annually

Answer» CI= 1213.06
amount= 7290+1213.06= 8503.06
49.

A dealer sold a camera for Rs.1080 gaining 1/8 of its cost price.Find:(¡)the cost price of the camera.(¡¡)The gain per cent earned by the dealer.

Answer» HII..
Here is your ANSWER..

Solution:-
Let the CP be x
Gain =1/8 of Cp
=  >  \frac{1}{8} of \: x \\  =  >  \frac{x}{8}
Selling PRICE=1080
SP=Cost Price+Gain
=  > 1080 = x +  \frac{x}{8}  \\  =  > 1080 =  \frac{8x + x}{8}  \\  =  > 1080 =  \frac{9x}{8}
=  > x =  \frac{1080 \times 8}{9}  \\  =  > x = 960
Therefore,
Cost Price =₹960

Now,
Gain =x/8
=  > \frac{x}{8}  \\  =  >  \frac{960}{8}  \\  =  > 120
We KNOW that,
gain\% =  \frac{gain}{cp}  \times 100 \\  =  >  \frac{120}{960}  \times 100 \\  =  > 12.5
Hence,
Gain is 12.5℅

Hope it helps UH...✌️✌️✌️
50.

The product of two numbers is 35.if one number is x then other numbers?

Answer»

The other no = 35 ÷ X